| 1 | ;;; -*- Mode: Lisp -*-
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| 2 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 3 | ;;;
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| 4 | ;;; Copyright (C) 1999, 2002, 2009, 2015 Marek Rychlik <rychlik@u.arizona.edu>
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| 5 | ;;;
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| 6 | ;;; This program is free software; you can redistribute it and/or modify
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| 7 | ;;; it under the terms of the GNU General Public License as published by
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| 8 | ;;; the Free Software Foundation; either version 2 of the License, or
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| 9 | ;;; (at your option) any later version.
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| 10 | ;;;
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| 11 | ;;; This program is distributed in the hope that it will be useful,
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| 12 | ;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | ;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 14 | ;;; GNU General Public License for more details.
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| 15 | ;;;
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| 16 | ;;; You should have received a copy of the GNU General Public License
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| 17 | ;;; along with this program; if not, write to the Free Software
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| 18 | ;;; Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
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| 19 | ;;;
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| 20 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 21 |
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| 22 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 23 | ;;
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| 24 | ;; Selection of algorithm and pair heuristic
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| 25 | ;;
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| 26 | ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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| 27 |
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| 28 | (defpackage "GROBNER-WRAP"
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| 29 | (:use :cl :buchberger :gebauer-moeller :gb-postprocessing :division :ring-and-order)
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| 30 | (:export "$POLY_GROBNER_ALGORITHM" "GROBNER" "REDUCED-GROBNER"))
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| 31 |
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| 32 | (in-package :grobner-wrap)
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| 33 |
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| 34 | (defvar $poly_grobner_algorithm '$buchberger
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| 35 | "The name of the algorithm used to find grobner bases.")
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| 36 |
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| 37 | (defun find-grobner-function (algorithm)
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| 38 | "Return a function which calculates Grobner basis, based on its
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| 39 | names. Names currently used are either Lisp symbols, Maxima symbols or
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| 40 | keywords."
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| 41 | (ecase algorithm
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| 42 | ((buchberger :buchberger $buchberger)
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| 43 | #'buchberger)
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| 44 | ((parallel-buchberger :parallel-buchberger $parallel_buchberger)
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| 45 | #'parallel-buchberger)
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| 46 | ((gebauer-moeller :gebauer-moeller $gebauer_moeller)
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| 47 | #'gebauer-moeller)))
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| 48 |
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| 49 | (defun grobner (ring-and-order f
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| 50 | &optional
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| 51 | (start 0)
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| 52 | (top-reduction-only $poly_top_reduction_only))
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| 53 | "Compute the Groebner basis of an ideal generated by F. Optionally,
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| 54 | assume that first START elements are already a grobner basis.
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| 55 | If TOP-REDUCTION-ONLY is T then perform top reduction only."
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| 56 | (declare (type ring-and-order ring-and-order))
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| 57 | ;;(setf F (sort F #'< :key #'sugar))
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| 58 | (funcall
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| 59 | (find-grobner-function $poly_grobner_algorithm)
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| 60 | ring-and-order f start top-reduction-only))
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| 61 |
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| 62 | (defun reduced-grobner (ring-and-order f
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| 63 | &optional
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| 64 | (start 0)
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| 65 | (top-reduction-only $poly_top_reduction_only))
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| 66 | (declare (type ring-and-order ring-and-order))
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| 67 | (reduction ring-and-order (minimization (grobner ring-and-order f start top-reduction-only))))
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